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22200310144 = 271922916567
BaseRepresentation
bin10100101011001111…
…011101100110000000
32010022011210121100001
4110223033131212000
5330431234411034
614110525405344
71414100344165
oct245317354600
963264717301
1022200310144
119462550661
124376a09854
13212a4b74bc
14110860406c
1589dee9a14
hex52b3dd980

22200310144 has 96 divisors (see below), whose sum is σ = 48289921200. Its totient is φ = 10152705024.

The previous prime is 22200310103. The next prime is 22200310159. The reversal of 22200310144 is 44101300222.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331749 + ... + 1348315.

Almost surely, 222200310144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24144960600).

22200310144 is an abundant number, since it is smaller than the sum of its proper divisors (26089611056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22200310144 is a wasteful number, since it uses less digits than its factorization.

22200310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16648 (or 16617 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22200310144 its reverse (44101300222), we get a palindrome (66301610366).

The spelling of 22200310144 in words is "twenty-two billion, two hundred million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 361 464 551 608 722 928 1102 1216 1444 1856 2204 2432 2888 3712 4408 5776 8816 10469 11552 16567 17632 20938 23104 33134 35264 41876 46208 66268 70528 83752 132536 167504 265072 314773 335008 480443 530144 629546 670016 960886 1060288 1259092 1340032 1921772 2120576 2518184 3843544 5036368 5980687 7687088 9128417 10072736 11961374 15374176 18256834 20145472 23922748 30748352 36513668 40290944 47845496 61496704 73027336 95690992 146054672 173439923 191381984 292109344 346879846 382763968 584218688 693759692 765527936 1168437376 1387519384 2775038768 5550077536 11100155072 22200310144